Real and Abstract Analysis : A modern treatment of the theory of functions of a real variable / by E. Hewitt, K. Stromberg
データ種別 | 電子書籍 |
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版 | 1st ed. 1965. |
出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 1965 |
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書誌ID | OB01029283 |
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本文言語 | 英語 |
一般注記 | License restrictions may limit access Summary: This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of M athe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964] |
著者標目 | *Hewitt, E Stromberg, K SpringerLink (Online service) |
件 名 | LCSH:Functions of real variables LCSH:Mathematical analysis FREE:Real Functions FREE:Analysis |
分 類 | LCC:QA331.5 DC23:515.8 |
巻冊次 | ISBN:9783642880445 RefWorks出力(各巻) print ; ISBN:9783642880469 RefWorks出力(各巻) print ; ISBN:9783540045595 RefWorks出力(各巻) print ; ISBN:9783642880452 RefWorks出力(各巻) |
資料種別 | 機械可読データファイル |
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